NJSLA Algebra I Interpreting Functions Practice

NJSLA Algebra I Interpreting Functions. Practice it free.

Understand the concept of a function and use function notation; interpret functions that arise in applications in terms of the context; analyze functions using different representations. This Algebra I reporting domain maps to 10 practice skills and 8 representative questions from the playable bank.

Algebra IF-IF10 mapped skills

Interpreting Functions skills

F-IF.A.1 Understand that a function from one set to another assigns to each input exactly one output

F-IF.A.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation

F-IF.B.3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers

F-IF.C.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities

F-IF.C.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes

F-IF.C.6 Calculate and interpret the average rate of change of a function

F-IF.C.7 Graph functions expressed symbolically and show key features of the graph by hand and using technology

F-IF.C.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function

F-IF.C.9 Compare properties of two functions each represented in a different way

Standards basis

New Jersey Student Learning Standards for Mathematics (NJSLS-M), aligned to Common Core State Standards for Mathematics (CCSS-M) — New Jersey

How the NJSLA reports it

NJSLA math is built on the New Jersey Student Learning Standards for Mathematics, which closely follow the Common Core domain structure and progressions. The assessment is organized by grade-level and end-of-course reporting aligned to those standards rather than by a separate proprietary framework.

Blueprint & weighting

NJDOE publishes statewide assessment administration information and grade/course coverage, but no official public math-domain weighting blueprint was located in the retrieved primary materials.

Official sources

New Jersey Department of Education - Assessment
New Jersey Department of Education - 2023 NJSLS-Mathematics
NJDOE - Statewide Assessment Testing Schedule 2026-27

8 free questions · 0/0 correct

Practice playeasy

The $x$ -intercept of the graph of $y = 6x + 24$ in the coordinate plane is $(x, 0)$ . What is the value of $x$ ?

At the $x$ -intercept, $y = 0$ , so $0 = 6x + 24$ , $6x = -24$ , and $x = -4\textsf{.}$

Practice playeasy

The function $f$ is defined by $f(x) = \sqrt{x + 21}$ . What is the value of $f(x)$ when $x = 4$ ?

Substitute $x = 4$ : $f(4) = \sqrt{4 + 21} = \sqrt{25} = 5$ .

Practice playeasy

The function $f$ is defined by $f(x) = -2x + 15$ . What is the value of $f(x)$ when $x = 3$ ?

Substitute $x = 3$ : $f(3) = -2(3) + 15 = -6 + 15 = 9$ .

Practice playeasy

For the function $g$ , $g(0) = 100$ . For each increase in $x$ by $1$ , the value of $g(x)$ increases by $50\%$ . What is the value of $g(2)$ ?

Each step multiplies by $1 + 0.50 = 1.5$ . So $g(2) = 100 \cdot 1.5^2 = 100 \cdot 2.25 = 225$ .

Practice playeasy

$r = 120 - 8s$

The equation shown gives the estimated number of raffle tickets $r$ remaining after $s$ sales periods at a festival booth, where $0 \le s \le 15\textsf{.}$ What is the estimated number of raffle tickets remaining after $7$ sales periods?

Substitute $s = 7\textsf{:}$ $r = 120 - 8(7) = 120 - 56 = 64\textsf{.}$ The estimated number remaining is $64\textsf{.}$

Practice playeasy

For which value of $x$ does the graph of $y = (x - 15)(x + 7)$ intercept the $x$ -axis?

Set $y = 0$ : $(x - 15)(x + 7) = 0$ . The zeros are $x = 15$ and $x = -7$ . Of the choices, $15$ is an x-coordinate of an x-intercept.

Practice playmedium

The function $P$ is defined by $P(x) = -2x^{2} + 40x - 50$ . The function models the profit, in dollars, from selling $x$ handmade notebooks at a school fair. The domain of the function is $0 \le x \le 20$ . Which of the following is the best interpretation of the statement " $P(5)$ is equal to $100$ " in this context?

Here $x$ is the number of notebooks sold and $P(x)$ is profit in dollars. So $P(5) = 100$ means that when $5$ notebooks are sold, the profit is $100$ dollars.

Practice playeasy

A ball is thrown straight upward from a platform. Its height $h$ , in feet, above the ground $t$ seconds after it is thrown is modeled by $h(t) = -16t^2 + 32t + 20$ . According to the model, what is the initial height of the ball above the ground, in feet?

The initial height is $h(0)$ . Substituting $t = 0$ gives $h(0) = -16(0)^2 + 32(0) + 20 = 20$ feet.

NJSLA Algebra I Interpreting Functions. Practice it free.

Interpreting Functions skills

F-IF.A.1 Understand that a function from one set to another assigns to each input exactly one output

F-IF.A.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation

F-IF.B.3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers

F-IF.C.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities

F-IF.C.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes

F-IF.C.6 Calculate and interpret the average rate of change of a function

F-IF.C.7 Graph functions expressed symbolically and show key features of the graph by hand and using technology

F-IF.C.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function

F-IF.C.9 Compare properties of two functions each represented in a different way

Topics mapped to this domain

Slope-intercept intercepts (SAT/PSAT 8/9/10)

Evaluating functions

Evaluating functions at a value

Evaluating functions from percent change

Evaluating functions in context

Factored polynomial x-intercepts (SAT)

Interpreting function values in context

Quadratic function word problems (ACT)

Quadratic minimum from vertex form

Quadratic minimum x-value

8 free questions · 0/0 correct

Turn interpreting functions into game time.

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